I can't recall seeing any non-Equity or non-Broadway touring show in Chicago advertised as "Direct from Broadway". Broadway in Chicago is the brand name of the production company that brings in most of the tours and tryouts, much like its national counterpart Broadway Across America. Even way back, before it was Broadway Across America, PACE Theatricals produced the "Broadway Series" for most of the markets. For decades, "Broadway" has been an adjective for musicals that have been produced on Broadway (as opposed to movie musicals or Off-Broadway musicals), not necessarily a specific Broadway production. Nowadays, Broadway in Chicago and Broadway Across America leverage "Broadway" as a brand name for their companies, but as in the cases of the tours of Annie, Sound of Music and 42nd Street I saw, I do not recall them being advertised as "Direct from Broadway" (which shows are currently advertising this?) or being specific Broadway productions. We definitely get "Broadway-bound" pounded into our skulls for tryouts in Chicago, whether they land on Broadway or not. And I've seen Broadway tours transition to non-Equity and continue to tour with essentially the same production, charging less for single tickets than their original run (In the Heights, American Idiot), so I don't consider those to be "non-Broadway". I love seeing talented non-Equity performers get exposure that is usually only reserved for those living in NYC or the minuscule percentage of performers who can benefit from Equity in the rest of the country.
"What can you expect from a bunch of seitan worshippers?" - Reginald Tresilian